Question

box of mass 20 kg is placed on the truck the coefficient of static friction between the floor of the truck and the boxes 0.25 what is the maximum acceleration the truck can move so that the box remind stationary on the truck ​

Answer 1

From the free body diagram of the box on the floor (fig-a), we can calculate the maximum acceleration needed to slide the box.

m×amax=μs×N= μs×mg.

Using, g=10m/s2, we can get amax=3m/s2.

Now here the acceleration of the truck is 2m/s2 which is smaller than amax so the maximum friction force acting on the box can be 0.3×10×20 =60 N, along the direction of motion of the truck.

Hope it helps you :-)